Set-23 Simplification/Approximation For SBI PO and SBI Clerk 2019 | Must Go Through These Questions

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Directions:(1-2) What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)

1. 35.98 x 40.01 – 49.04 x 11.03 + 17.98 x 11.96 = ?

2. √5627 x √1224 ÷ √679 = ? ÷ 13

Directions:(3-10) What value should come in place of the questions mark (?) in the following questions?

3. (0.7)2 ÷ (0.343) = (0.7)? ÷ (0.49)3

4. 1575 ÷ 21 ÷ 5 = 6 x √(?)

5. 45% of 36 + ?% of 65 = 52.6

6. (35)2 ÷ ∛125 + (25)2 + (5)3 =?

7. 12.5 x 18 + 22.5 x 6 – 3.6 x 30 = ?

8. 3960 ÷ 36 + 3600 ÷ ? = 5600 ÷ 35

9. 10(5/6) x 9(1/2) = 1003/6 x 10a/6 x 97+b

10. 11 x 16 + 19 x 13 = ? + 12 x 14

 

 

Check your Answers below:

 

 

 

Directions:(1-2) What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)

1. Question

35.98 x 40.01 – 49.04 x 11.03 + 17.98 x 11.96 = ?

Ans: 2
? ≈ 36 x 40 – 49 x 11 + 18 x 12
= 1440 – 539 + 216 = 1117
2. Question

√5627 x √1224 ÷ √679 = ? ÷ 13

Ans: 3
? ÷ 13 ≈ 75 x 35 ÷ 26
? = 75 x 35/26 x 13
= 75 x 17.5 = 1312.5 ≈ 1310

Directions:(3-10) What value should come in place of the questions mark (?) in the following questions?

3. Question

(0.7)2 ÷ (0.343) = (0.7)? ÷ (0.49)3

Ans: 5
(0.7)? = (0.7)2 ÷ (0.343) x (0.49)3
= (0.7)2 ÷ (0.7)3 x (0.7)6
= (0.7)2-3+6 = (0.7)5
=> ? = 5
4. Question

1575 ÷ 21 ÷ 5 = 6 x √(?)

Ans: 1
6 x √(?) = 1575 ÷ 21 ÷ 5 = (1575/21) ÷ 5 = 75/5 = 15
√? x 6 = 15
=> √? = 2.5
=> ? = 6.25
5. Question

45% of 36 + ?% of 65 = 52.6

Ans: 2
?% of 65 = 52.6 – 0.45×36
= 52.6 – 16.2 = 36.4
=> ? = 100 x 36.4/65 = 56
6. Question

(35)2 ÷ ∛125 + (25)2 + (5)3 =?

Ans: 2
? = 1225/5 + 625 + 125
= 245 + 750 = 995
7. Question

12.5 x 18 + 22.5 x 6 – 3.6 x 30 = ?

Ans: 4
? = 225 + 135 – 108 = 252
8. Question

3960 ÷ 36 + 3600 ÷ ? = 5600 ÷ 35

Ans: 4
110 + 3600 ÷ ? = 160
=> 3600 ÷ ? = 160 – 110 = 50
=> ? = 3600 ÷ 50 = 72
9. Question

10(5/6) x 9(1/2) = 1003/6 x 10a/6 x 97+b

Ans: 5
Equating the powers of 10, 9 we have:10(5/6) = 102 x 3/6 x 10a/6
10(5/6) = 106/6 x 10a/6
So, 5/6 = 6/6 + a/6
a = 6 x (5/6 – 6/6)
a = -1
9(1/2) = 97+b
b = 1/2 – 7
b = -13/2

10. Question

11 x 16 + 19 x 13 = ? + 12 x 14

Ans: 5
176 + 247 = ? + 168
=> ? = 176 + 247 – 168 = 255

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